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Mth – FACTORIZATION AND ALGEBRAIC MANIPULATION

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Question 1 of 20 0% read

1. Factorize: x² - 4x - 12

A (x - 6)(x + 2)

B (x + 6)(x - 2)

C (x - 4)(x + 3)

D (x + 4)(x - 3)

2. Find the LCM of 6x²y and 8xy³.

A 24x²y³

B 48x²y³

C 2xy

D 24xy³

3. Find the LCM of x² - 4 and x² - 3x + 2.

A (x - 2)(x + 2)(x - 1)

B (x - 2)(x + 2)

C (x - 2)(x - 1)

D (x + 2)(x - 1)

4. Simplify: (x² + 2x + 1)/(x² - 1) ÷ (x + 1)/(x - 1)

A 1

B x + 1

C x - 1

D (x + 1)/(x - 1)

5. Factorize: 4x² - 12x + 9

A (2x - 3)²

B (2x + 3)²

C (4x - 3)(x - 3)

D (2x - 3)(2x + 3)

6. What is the HCF of 6x²y and 9xy³?

A 3xy

B 3x²y

C 18xy

D 3x²y³

7. Factorize: 4x² - 25

A (2x - 5)(2x + 5)

B (2x - 5)²

C (2x + 5)²

D (4x - 5)(x + 5)

8. What is the LCM of x² - 1 and x² + 2x + 1?

A (x - 1)(x + 1)²

B (x - 1)²(x + 1)

C (x² - 1)(x + 1)

D (x + 1)²

9. Factorize: 3x² - 10x + 8

A (3x - 4)(x - 2)

B (3x + 4)(x + 2)

C (3x - 2)(x - 4)

D (3x + 2)(x + 4)

10. What is the square root of (4x² + 12x + 9)?

A 2x + 3

B 2x - 3

C 4x + 3

D 2x + 9

11. Factorize: 8x³ - 27

A (2x - 3)(4x² + 6x + 9)

B (2x - 3)(4x² - 6x + 9)

C (2x + 3)(4x² - 6x + 9)

D (2x + 3)(4x² + 6x + 9)

12. Simplify: (x² - 4)/(x - 2)

A x + 2

B x - 2

C x + 4

D x - 4

13. Factorize: x² - 10x + 25 - 4y²

A (x - 5 - 2y)(x - 5 + 2y)

B (x + 5 - 2y)(x + 5 + 2y)

C (x - 5 - 2y)²

D (x - 5)² - 4y²

14. Simplify: (x² + 4x + 3)/(x² - 1) × (x - 1)/(x + 3)

A 1

B x + 1

C x - 1

D (x + 1)/(x - 1)

15. Factorize: 2x² + 5x - 3

A (2x - 1)(x + 3)

B (2x + 1)(x - 3)

C (2x + 3)(x - 1)

D (2x - 3)(x + 1)

16. Simplify: (x² - 5x + 6)/(x - 2)

A x - 3

B x + 3

C x - 2

D x + 2

17. Factorize: x² + 8x + 16

A (x + 4)²

B (x - 4)²

C (x + 4)(x - 4)

D (x + 2)(x + 8)

18. Simplify: (x² - 9)/(x² - 6x + 9) × (x - 3)/(x + 3)

A 1

B x - 3

C x + 3

D (x - 3)/(x + 3)

19. Factorize: x² + 7x + 12

A (x + 3)(x + 4)

B (x + 2)(x + 6)

C (x - 3)(x - 4)

D (x + 1)(x + 12)

20. What is the square root of (x² - 2x + 1)?

A x - 1

B x + 1

C (x - 1)²

D x² - 2x + 1

Mth – FACTORIZATION AND ALGEBRAIC MANIPULATION

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